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Critical exponents of words over 3 letters. (English) Zbl 1217.68174

Summary: For all \(\alpha \geq RT (3)\) (where \(RT (3) = 7/4\) is the repetition threshold for the 3-letter alphabet), there exists an infinite word over 3 letters whose critical exponent is \(\alpha \).

MSC:

68R15 Combinatorics on words

Keywords:

infinite word
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Online Encyclopedia of Integer Sequences:

a(n) = 0 if n is of the form m*(m+3)/2, otherwise 1.